1953264 has 20 divisors (see below), whose sum is σ = 5046056. Its totient is φ = 651072.

The previous prime is 1953253. The next prime is 1953269. The reversal of 1953264 is 4623591.

It is a d-powerful number, because it can be written as 1 + 9 + 5⁹ + 3³ + 2⁵ + 6 + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20299 + ... + 20394.

2^1953264 is an apocalyptic number.

It is an amenable number.

1953264 is an abundant number, since it is smaller than the sum of its proper divisors (3092792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1953264 is a wasteful number, since it uses less digits than its factorization.

1953264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40704 (or 40698 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 1953264 is about 1397.5922152044. The cubic root of 1953264 is about 125.0029652630.

The spelling of 1953264 in words is "one million, nine hundred fifty-three thousand, two hundred sixty-four".